On the properties of well-graded partially union-closed families

Publication date: Available online 31 August 2017 Source:Journal of Mathematical Psychology Author(s): Jeffrey Matayoshi In this paper we will study several properties of well-graded union-closed families that do not contain the empty set. Such union-closed families without the empty set are said to be partially union-closed. We will extend several results for well-graded union-closed families to the partially union-closed case, and we will also extend the concept of being intersection-closed to families without the empty set.

Source: Journal of Mathematical Psychology - September 1, 2017 Category: Psychiatry & Psychology Source Type: research